The difference of the present ages of two sister in 5 yrsAfter 4yrs if the product of their age becomes 104. fine
their present age-
Answers
Answer:
4 and 9
Step-by-step explanation:
let their ages be x and x - 5, then in 4 years their ages will be
x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus
(x + 4)(x - 1) = 104 ← expand factors on left using FOIL
x² + 3x - 4 = 104 ( subtract 104 from both sides )
x² + 3x - 108 = 0 ← in standard form
(x + 12)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x - 9 = 0 ⇒ x = 9
However, x > 0 ⇒ x = 9
Thus
Their present ages are 9 and 9 - 5 = 4
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Step-by-step explanation:
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Each bag cost $375/750= $0.50
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Answers
Answer:
6,1
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
The square has 4 sides with length 4
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Answers
vf^2 = vi^2 + 2 * a * d, vf = 0, a = -32
0 = 256^2 + 2 * -32 * d
64 * d = 65,536
d = 65,536 ÷ 64 = 1024 ft
Maximum height = 85 + 1024 = 1109 ft
The arrow's maximum height above the ground can be calculated using maximum height. The maximum height reached from the launch point is 1024 feet. Adding the height of the building, the overall maximum height of the arrow is 1,109 feet.
To find the maximum height of the arrow, you can use the following formula:
Maximum Height = Initial Height + (InitialVelocity^2 / (2 * Acceleration due to gravity))
In this case:
Initial Height = 85 feet
Initial Velocity = 256 feet per second
Acceleration due to gravity (approximated as 32 feet per second squared)
Maximum Height = 85 + (256^2 / (2 * 32))
Maximum Height = 85 + (65536 / 64)
Maximum Height = 85 + 1024
Maximum Height = 1109 feet
So, the maximum height the arrow reaches above the ground is 1,109 feet.
Learn more about Maximum Height here:
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Answers
The image of the point after a reflection over the y-axis is (-2, -1)
Calculating the image of the point after a reflection over the y-axis?
From the question, we have the following parameters that can be used in our computation:
Point = (2, -1)
Transformation rule
A reflection over the y-axis
The rule of a reflection over the y-axis is
(x, y) = (-x, y)
Using the above as a guide, we have the following:
Image = (-2, -1)
Hence the image of the point after a reflection over the y-axis is (-2, -1)
Read more about transformation at
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There are no images included, but it would be -2,-1.